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Simplifying 6t + -7 + 2t = 5(t + 4) Reorder the terms: -7 + 6t + 2t = 5(t + 4) Combine like terms: 6t + 2t = 8t -7 + 8t = 5(t + 4) Reorder the terms: -7 + 8t = 5(4 + t) -7 + 8t = (4 * 5 + t * 5) -7 + 8t = (20 + 5t) Solving -7 + 8t = 20 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -7 + 8t + -5t = 20 + 5t + -5t Combine like terms: 8t + -5t = 3t -7 + 3t = 20 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + 3t = 20 + 0 -7 + 3t = 20 Add '7' to each side of the equation. -7 + 7 + 3t = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 3t = 20 + 7 3t = 20 + 7 Combine like terms: 20 + 7 = 27 3t = 27 Divide each side by '3'. t = 9 Simplifying t = 9
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